172 citations · 2.2k across the 119 of their papers we have counts for
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Deformations of the Boson Representation and its Subalgebras
J. P. Draayer, A. I. Georgieva, M. I. Ivanov
The boson representation of the sp(4,R) algebra and two distinct deformations of it, are considered, as well as the compact and noncompact subalgebras of each. The initial as well…
Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons
A. Ludu, G. Stoitcheva, J. P. Draayer
We introduce a generalized similarity analysis which grants a qualitative description of the localised solutions of any nonlinear differential equation. This procedure provides rel…
Wavelets and Quantum Algebras
Andrei Ludu, Martin Greiner, Jerry P. Draayer
Wavelets, known to be useful in non-linear multi-scale processes and in multi-resolution analysis, are shown to have a q-deformed algebraic structure. The translation and dilation…